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Finding the Fourth Proportional to 16,084.81, 22,189.62 and 10,421.46

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Solution

The fourth proportional to 16,084.81, 22,189.62 and 10,421.46 is: 14,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.81 : 22,189.62 = 10,421.46 : x
  2. Step 2: Convert to fraction form
    16,084.81/22,189.62 = 10,421.46/x
  3. Step 3: Cross multiply
    16,084.81x = 22,189.62 × 10,421.46
  4. Step 4: Simplify right side
    16,084.81x = 231,248,237.25
  5. Step 5: Solve for x
    x = 231,248,237.25/16,084.81
  6. Step 6: Final answer
    x = 14,376.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.